Modular graph forms from equivariant iterated Eisenstein integrals

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Modular graph forms from equivariant iterated Eisenstein integrals. / Dorigoni, Daniele; Doroudiani, Mehregan; Drewitt, Joshua; Hidding, Martijn; Kleinschmidt, Axel; Matthes, Nils; Schlotterer, Oliver; Verbeek, Bram.

I: Journal of High Energy Physics, Bind 2022, Nr. 12, 162, 2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Dorigoni, D, Doroudiani, M, Drewitt, J, Hidding, M, Kleinschmidt, A, Matthes, N, Schlotterer, O & Verbeek, B 2022, 'Modular graph forms from equivariant iterated Eisenstein integrals', Journal of High Energy Physics, bind 2022, nr. 12, 162. https://doi.org/10.1007/JHEP12(2022)162

APA

Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., Schlotterer, O., & Verbeek, B. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12), [162]. https://doi.org/10.1007/JHEP12(2022)162

Vancouver

Dorigoni D, Doroudiani M, Drewitt J, Hidding M, Kleinschmidt A, Matthes N o.a. Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics. 2022;2022(12). 162. https://doi.org/10.1007/JHEP12(2022)162

Author

Dorigoni, Daniele ; Doroudiani, Mehregan ; Drewitt, Joshua ; Hidding, Martijn ; Kleinschmidt, Axel ; Matthes, Nils ; Schlotterer, Oliver ; Verbeek, Bram. / Modular graph forms from equivariant iterated Eisenstein integrals. I: Journal of High Energy Physics. 2022 ; Bind 2022, Nr. 12.

Bibtex

@article{65f0156abd474b85b5fe67454ac841f7,

title = "Modular graph forms from equivariant iterated Eisenstein integrals",

abstract = "The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown{\textquoteright}s alternative construction of non-holomorphic modular forms in the recent mathematics literature from so-called equivariant iterated Eisenstein integrals. In this work, we provide the first validations beyond depth one of Brown{\textquoteright}s conjecture that equivariant iterated Eisenstein integrals contain modular graph forms. Apart from a variety of examples at depth two and three, we spell out the systematics of the dictionary and make certain elements of Brown{\textquoteright}s construction fully explicit to all orders.",

keywords = "Differential and Algebraic Geometry, Superstrings and Heterotic Strings",

author = "Daniele Dorigoni and Mehregan Doroudiani and Joshua Drewitt and Martijn Hidding and Axel Kleinschmidt and Nils Matthes and Oliver Schlotterer and Bram Verbeek",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

doi = "10.1007/JHEP12(2022)162",

language = "English",

volume = "2022",

journal = "Journal of High Energy Physics (Online)",

issn = "1126-6708",

publisher = "Springer",

number = "12",

}

RIS

TY - JOUR

T1 - Modular graph forms from equivariant iterated Eisenstein integrals

AU - Dorigoni, Daniele

AU - Doroudiani, Mehregan

AU - Drewitt, Joshua

AU - Hidding, Martijn

AU - Kleinschmidt, Axel

AU - Matthes, Nils

AU - Schlotterer, Oliver

AU - Verbeek, Bram

PY - 2022

Y1 - 2022

N2 - The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative construction of non-holomorphic modular forms in the recent mathematics literature from so-called equivariant iterated Eisenstein integrals. In this work, we provide the first validations beyond depth one of Brown’s conjecture that equivariant iterated Eisenstein integrals contain modular graph forms. Apart from a variety of examples at depth two and three, we spell out the systematics of the dictionary and make certain elements of Brown’s construction fully explicit to all orders.

AB - The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative construction of non-holomorphic modular forms in the recent mathematics literature from so-called equivariant iterated Eisenstein integrals. In this work, we provide the first validations beyond depth one of Brown’s conjecture that equivariant iterated Eisenstein integrals contain modular graph forms. Apart from a variety of examples at depth two and three, we spell out the systematics of the dictionary and make certain elements of Brown’s construction fully explicit to all orders.

KW - Differential and Algebraic Geometry

KW - Superstrings and Heterotic Strings

UR - http://www.scopus.com/inward/record.url?scp=85145361768&partnerID=8YFLogxK

U2 - 10.1007/JHEP12(2022)162

DO - 10.1007/JHEP12(2022)162

M3 - Journal article

AN - SCOPUS:85145361768

VL - 2022

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 12

M1 - 162

ER -

ID: 332036809

Institut for Matematiske Fag